Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Lie sphere geometry wikipedia , lookup
Tessellation wikipedia , lookup
Analytic geometry wikipedia , lookup
Cartesian coordinate system wikipedia , lookup
Rational trigonometry wikipedia , lookup
Multilateration wikipedia , lookup
Euler angles wikipedia , lookup
Duality (projective geometry) wikipedia , lookup
Geometrization conjecture wikipedia , lookup
History of geometry wikipedia , lookup
PENNSYLVANIA Date: March 5, 2014 ET Susquenita Curriculum Course: .PACC Academic Geometry Teacher / Team Name: LARA Curriculum: Topic: 001 Essentials of Geometry Days: 12 Subject(s): Math Know: CC.2.3.HS.A.14 -Essential Apply geometric concepts to model and solve real world problems. Grade(s): 7th, 8th, 9th, 10th, 11th, 12th Understand: Geometry is logically built upon a few basic axioms and undefined terms. Do: CC.2.3.HS.A.14 -- Essential Apply geometric concepts to model and solve real world problems. 1 -- Essential Make sense of problems and persevere in solving them. 1 -- Essential Make sense of problems and persevere in solving them. 2 -- Essential Reason abstractly and quantitatively. 2 -- Essential Reason abstractly and quantitatively. 3 -- Essential Construct viable arguments and critique the reasoning of others. 3 -- Essential Construct viable arguments and critique the reasoning of others. 4 -- Essential Model with mathematics. 4 -- Essential Model with mathematics. 5 -- Essential Use appropriate tools strategically. 6 -- Essential Attend to precision. 5 -- Essential Use appropriate tools strategically. 7 -- Essential Look for and make use of structure. 6 -- Essential Attend to precision. 8 -- Essential Look for and express regularity in repeated reasoning. 7 -- Essential Look for and make use of structure. CC.2.3.HS.A.4 -- Essential Apply the concept of congruence to create geometric constructions. 8 -- Essential Look for and express regularity in repeated reasoning. CC.2.3.HS.A.3 -- Essential Verify and apply geometric theorems as they relate to geometric figures. CC.2.3.HS.A.4 -Essential Apply the concept of congruence to create geometric constructions. G.1.2.1.4 -- Essential Identify and/or use properties of regular polygons. Page 1 of 4 PENNSYLVANIA Date: March 5, 2014 ET Susquenita Curriculum Course: .PACC Academic Geometry Teacher / Team Name: LARA Curriculum: Topic: 001 Essentials of Geometry Days: 12 Subject(s): Math Know: CC.2.3.HS.A.3 -Essential Verify and apply geometric theorems as they relate to geometric figures. G.2.1.2.1 -- Essential Calculate the distance and/or midpoint between two points on a number line or on a coordinate plane. Grade(s): 7th, 8th, 9th, 10th, 11th, 12th Understand: Do: G.2.1.2.1 -- Essential Calculate the distance and/or midpoint between two points on a number line or on a coordinate plane. G.2.1.2.3 -- Essential Use slope, distance, and/or midpoint between two points on a coordinate plane to establish properties of a 2dimensional shape. G.2.2.1.1 -- Essential Use properties of angles formed by intersecting lines to find the measures of missing angles. G.2.1.2.3 -- Essential Use slope, distance, and/ or midpoint between two points on a coordinate plane to establish properties of a 2 dimensional shape. G.2.2.1.1 -- Essential Use properties of angles formed by intersecting lines to find the measures of missing angles. Page 2 of 4 Susquenita Curriculum Course: .PACC Academic Geometry Teacher / Team Name: LARA Curriculum: Topic: PENNSYLVANIA Date: March 5, 2014 ET 001 Essentials of Geometry Subject(s): Math Which standards are students learning in this unit? Days: 12 Grade(s): 7th, 8th, 9th, 10th, 11th, 12th CC.2.3.HS.A.14 -- Essential Apply geometric concepts to model and solve real world problems. 1 -- Essential Make sense of problems and persevere in solving them. 2 -- Essential Reason abstractly and quantitatively. 3 -- Essential Construct viable arguments and critique the reasoning of others. 4 -- Essential Model with mathematics. 5 -- Essential Use appropriate tools strategically. 6 -- Essential Attend to precision. 7 -- Essential Look for and make use of structure. 8 -- Essential Look for and express regularity in repeated reasoning. CC.2.3.HS.A.4 -- Essential Apply the concept of congruence to create geometric constructions. CC.2.3.HS.A.3 -- Essential Verify and apply geometric theorems as they relate to geometric figures. G.1.2.1.4 -- Essential Identify and/or use properties of regular polygons. G.2.1.2.1 -- Essential Calculate the distance and/or midpoint between two points on a number line or on a coordinate plane. G.2.1.2.3 -- Essential Use slope, distance, and/or midpoint between two points on a coordinate plane to establish properties of a 2 dimensional shape. Page 3 of 4 Susquenita Curriculum Course: .PACC Academic Geometry Teacher / Team Name: LARA Curriculum: Topic: 001 Essentials of Geometry Subject(s): Math PENNSYLVANIA Date: March 5, 2014 ET Days: 12 Grade(s): 7th, 8th, 9th, 10th, 11th, 12th G.2.2.1.1 -- Essential Use properties of angles formed by intersecting lines to find the measures of missing angles. Page 4 of 4 PENNSYLVANIA Date: March 5, 2014 ET Susquenita Curriculum Course: .PACC Academic Geometry Teacher / Team Name: LARA Curriculum: Topic: 001 Essentials of Geometry Days: 12 Subject(s): Math Grade(s): 7th, 8th, 9th, 10th, 11th, 12th Key Learning: In plane geometry, all definitions are based upon three basic terms and measurements are used to classify angles and segments. Unit Essential Question(s): How are the basic terms, points, lines and planes, used to establish definitions in geometry and how can you use measurements to compare segments and classify angles? Concept: Concept: Concept: 1.1 Points, Lines, & Planes 1.2 Segments & Congruence 1.3 Midpoint & Distance CC.2.3.HS.A.14 CC.2.3.HS.A.14, CC.2.3.HS.A.4 CC.2.3.HS.A.14, G.2.1.2.1 , G.2.1.2.3 Lesson Essential Question(s): Lesson Essential Question(s): 1.What are the basic terms and their importance 2.How do you use segment postulates to to geometry? (ET) determine congruent segments? (A) Lesson Essential Question(s): 3.How do you find the distance and midpoint between 2 points in the coordinate plane? (A) Vocabulary: plane, collinear points, coplanar points, line segment, undefined term, defined term, endpoints, ray, opposite rays, intersection Vocabulary: postulate, axiom, distance Vocabulary: midpoint, segment bisector Concept: Concept: Concept: 1.4 Measure & Classify Angles 1.5 Angle Pair Relationships 1.6 Classify Polygons CC.2.3.HS.A.14, G.2.2.1.1 , CC.2.3.HS.A.4 CC.2.3.HS.A.14, CC.2.3.HS.A.4, G.2.2.1.1 CC.2.3.HS.A.14, CC.2.3.HS.A.4, CC.2.3.HS.A.3, G.1.2.1.4 Lesson Essential Question(s): 4.How do you name, measure, and classify angles? (ET) Lesson Essential Question(s): 5.How are pairs of angles classified? (A) Lesson Essential Question(s): 6.How can polygons be classified by their sides and by their angles? How do you find the length of the side of a regular polygon? (A) Vocabulary: vertex of an angle, angle bisector Vocabulary: adjacent angles, linear pair, vertical angles Vocabulary: polygon, vertex, concave, convex, n-gon, regular Additional Information: ruler, protractor, graph/number line paper, dynamic geometric software Attached Document(s): Page 1 of 1 Susquenita Curriculum Course: .PACC Academic Geometry Teacher / Team Name: LARA Curriculum: Vocab Report for Topic: 001 Essentials of Geometry Subject(s): Math PENNSYLVANIA Date: March 5, 2014 ET Days: 12 Grade(s): 7th, 8th, 9th, 10th, 11th, 12th Concept: 1.1 Points, Lines, & Planes plane collinear points coplanar points line segment undefined term defined term endpoints ray opposite rays intersection - Concept: 1.2 Segments & Congruence postulate axiom distance - Concept: 1.3 Midpoint & Distance midpoint segment bisector - Concept: 1.4 Measure & Classify Angles vertex of an angle angle bisector - Concept: 1.5 Angle Pair Relationships adjacent angles linear pair vertical angles - Concept: 1.6 Classify Polygons polygon vertex concave convex n-gon regular - Page 1 of 1